35 citations · 38 across the 30 of their papers we have counts for
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Optimal potentials for problems with changing sing data
Giuseppe Buttazzo, Faustino Maestre, Bozhidar Velichkov
We consider optimal control problems where the state equation is an elliptic PDE of a Schrödinger type, governed by the Laplace operator with the addition of a potential V, an…
Direct epiperimetric inequalities for the thin obstacle problem and applications
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the thin obstacle problem, we prove by a new direct method that in any dimension the Weiss' energies with frequency and , for , satisfy an epiperi…
A logarithmic epiperimetric inequality for the obstacle problem
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the general obstacle problem, we prove by direct methods an epiperimetric inequality at regular and singular points, thus answering a question of Weiss (Invent. Math., 138 (199…
On the honeycomb conjecture for a class of minimal convex partitions
Dorin Bucur, Ilaria Fragalà, Bozhidar Velichkov +1
We prove that the planar hexagonal honeycomb is asymptotically optimal for a large class of optimal partition problems, in which the cells are assumed to be convex, and the criteri…